<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd">
<html>
<head>
<title></title>
<!--Generated on Mon Oct 27 10:49:27 2014 by LaTeXML (version 0.7.999_04) http://dlmf.nist.gov/LaTeXML/.-->

<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<link rel="stylesheet" href="../../../../../../../LaTeXML.css" type="text/css">
<link rel="stylesheet" href="../../../../../../../ltx-article.css" type="text/css">
<link rel="stylesheet" href="../../../../../../../customRules.css" type="text/css">
</head>
<body>
<div class="ltx_page_main">
<div class="ltx_page_content">
<div class="ltx_document">
<div id="Sx1" class="ltx_section">
<h1 class="ltx_title ltx_title_section">Histogram</h1>

<div id="Sx1.p1" class="ltx_para">
<p class="ltx_p">Histograms are used to estimate the density of data by counting the
number of observations that fall into each of the bins. In our case,
a two-dimensional histogram of molecular positions is created with
the bin size corresponding to the pixel size of the final super-resolution
image <cite class="ltx_cite">[<a href="#bib.bib2" title="Visualization of localization microscopy data" class="ltx_ref">1</a>]</cite>. Thus, for every localized molecule, the
bin value (i.e., the image brightness) at the corresponding molecular
positions is incremented by one.</p>
</div>
<div id="Sx1.p2" class="ltx_para">
<p class="ltx_p">The histogram visualization optionally supports ‘‘jittering’’ <cite class="ltx_cite">[<a href="#bib.bib18" title="Minimizing detection errors in single molecule localization microscopy" class="ltx_ref">2</a>]</cite>.
When enabled, a random number drawn from the normal distribution,
with a standard deviation equal to the computed (or user-specified)
localization uncertainty, is added to the coordinates of every molecular
position before creating the histogram. This step is applied multiple
times and all generated histograms are averaged together. As the number
of jitters increases, the final image approaches the result of the
<a href="DensityRenderingUI.html" title="" class="ltx_ref">Gaussian rendering</a>. For a small number
of jitters, the histogram visualization is much faster than the Gaussian
rendering but the resulting images may appear noisy.</p>
</div>
<div id="Sx1.SSx1" class="ltx_subsection">
<h2 class="ltx_title ltx_title_subsection">See also</h2>

<div id="Sx1.SSx1.p1" class="ltx_para">
<ul id="I1" class="ltx_itemize">
<li id="I1.i1" class="ltx_item" style="list-style-type:none;">
<span class="ltx_tag ltx_tag_itemize">•</span> 
<div id="I1.i1.p1" class="ltx_para">
<p class="ltx_p"><a href="Rendering.html" title="" class="ltx_ref">Visualization methods</a></p>
</div>
</li>
</ul>
</div>
</div>
</div>
<div id="bib" class="ltx_bibliography">
<h1 class="ltx_title ltx_title_bibliography">References</h1>

<ul id="L1" class="ltx_biblist">
<li id="bib.bib2" class="ltx_bibitem ltx_bib_article">
<span class="ltx_bibtag ltx_bib_key ltx_role_refnum">[1]</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_author">D. Baddeley, M. B. Cannell and C. Soeller</span><span class="ltx_text ltx_bib_year">(2010)</span>
</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_title">Visualization of localization microscopy data</span>,
</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_journal">Microscopy and Microanalysis</span> <span class="ltx_text ltx_bib_volume">16</span> (<span class="ltx_text ltx_bib_number">1</span>), <span class="ltx_text ltx_bib_pages"> pp. 64–72</span>.
</span>
<span class="ltx_bibblock">External Links: <span class="ltx_text ltx_bib_links"><a href="http://dx.doi.org/10.1017/S143192760999122X" title="" class="ltx_ref doi ltx_bib_external">Document</a></span>.
</span>
<span class="ltx_bibblock ltx_bib_cited">Cited by: <a href="#Sx1.p1" title="Histogram" class="ltx_ref"><span class="ltx_text ltx_ref_title">Histogram</span></a>.
</span>
</li>
<li id="bib.bib18" class="ltx_bibitem ltx_bib_article">
<span class="ltx_bibtag ltx_bib_key ltx_role_refnum">[2]</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_author">P. Křížek, I. Raška and G. M. Hagen</span><span class="ltx_text ltx_bib_year">(2011)</span>
</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_title">Minimizing detection errors in single molecule localization microscopy</span>,
</span>
<span class="ltx_bibblock"><span class="ltx_text ltx_bib_journal">Optics Express</span> <span class="ltx_text ltx_bib_volume">19</span> (<span class="ltx_text ltx_bib_number">4</span>), <span class="ltx_text ltx_bib_pages"> pp. 3226–35</span>.
</span>
<span class="ltx_bibblock">External Links: <span class="ltx_text ltx_bib_links"><a href="http://dx.doi.org/10.1364/OE.19.003226" title="" class="ltx_ref doi ltx_bib_external">Document</a></span>.
</span>
<span class="ltx_bibblock ltx_bib_cited">Cited by: <a href="#Sx1.p2" title="Histogram" class="ltx_ref"><span class="ltx_text ltx_ref_title">Histogram</span></a>.
</span>
</li>
</ul>
</div>
</div>
</div>
<div class="ltx_page_footer">
<div class="ltx_page_logo">Generated  on Mon Oct 27 10:49:27 2014 by <a href="http://dlmf.nist.gov/LaTeXML/">LaTeXML <img src="" alt="[LOGO]"></a>
</div>
</div>
</div>
</body>
</html>
